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Finding the Third Proportional to 89,659 and 211,345

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Solution

The third proportional to 89,659 and 211,345 is: 498,184.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,659 : 211,345 = 211,345 : x
  2. Step 2: Convert to fraction form
    89,659/211,345 = 211,345/x
  3. Step 3: Cross multiply
    89,659x = 211,345 × 211,345
  4. Step 4: Simplify right side
    89,659x = 44,666,709,025
  5. Step 5: Solve for x
    x = 44,666,709,025/89,659
  6. Step 6: Final answer
    x = 498,184.33

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.